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Dicot family: Difference between revisions

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Badness: 0.022366
Badness: 0.022366
== Decimal ==
[[Subgroup]]: 2.3.5.7
[[Comma list]]: 25/24, 49/48
{{Mapping|legend=1| 2 0 3 4 | 0 2 1 1 }}
{{Multival|legend=1| 4 2 2 -6 -8 -1 }}
[[Optimal tuning]] ([[POTE]]): ~7/5 = 1\2, ~7/6 = 251.557
{{Optimal ET sequence|legend=1| 4, 10, 14c, 24c, 38ccd, 62cccdd }}
[[Badness]]: 0.028334
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 25/24, 45/44, 49/48
Mapping: {{mapping| 2 0 3 4 -1 | 0 2 1 1 5 }}
Optimal tuning (POTE): ~7/5 = 1\2, ~7/6 = 253.493
{{Optimal ET sequence|legend=1| 10, 14c, 24c, 38ccd, 52cccde }}
Badness: 0.026712
=== Decimated ===
Subgroup: 2.3.5.7.11
Comma list: 25/24, 33/32, 49/48
Mapping: {{mapping| 2 0 3 4 10 | 0 2 1 1 -2 }}
Optimal tuning (POTE): ~7/5 = 1\2, ~7/6 = 255.066
{{Optimal ET sequence|legend=1| 4, 10e, 14c }}
Badness: 0.031456
=== Decibel ===
Subgroup: 2.3.5.7.11
Comma list: 25/24, 35/33, 49/48
Mapping: {{mapping| 2 0 3 4 7 | 0 2 1 1 0 }}
Optimal tuning (POTE): ~7/5 = 1\2, ~8/7 = 243.493
{{Optimal ET sequence|legend=1| 4, 6, 10 }}
Badness: 0.032385


== Dichotic ==
== Dichotic ==
Line 296: Line 242:
Badness: 0.027938
Badness: 0.027938


== Jamesbond ==
== Decimal ==
[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7


[[Comma list]]: 25/24, 81/80
[[Comma list]]: 25/24, 49/48


{{Mapping|legend=1| 7 11 16 0 | 0 0 0 1 }}
{{Mapping|legend=1| 2 0 3 4 | 0 2 1 1 }}


{{Multival|legend=1| 0 0 7 0 11 16 }}
{{Multival|legend=1| 4 2 2 -6 -8 -1 }}


[[Optimal tuning]] ([[POTE]]): ~10/9 = 1\7, ~8/7 = 258.139
[[Optimal tuning]] ([[POTE]]): ~7/5 = 1\2, ~7/6 = 251.557


{{Optimal ET sequence|legend=1| 7, 14c }}
{{Optimal ET sequence|legend=1| 4, 10, 14c, 24c, 38ccd, 62cccdd }}


[[Badness]]: 0.041714
[[Badness]]: 0.028334


=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 25/24, 33/32, 45/44
Comma list: 25/24, 45/44, 49/48


Mapping: {{mapping| 7 11 16 0 24 | 0 0 0 1 0 }}
Mapping: {{mapping| 2 0 3 4 -1 | 0 2 1 1 5 }}


Optimal tuning (POTE): ~10/9 = 1\7, ~8/7 = 258.910
Optimal tuning (POTE): ~7/5 = 1\2, ~7/6 = 253.493


{{Optimal ET sequence|legend=1| 7, 14c }}
{{Optimal ET sequence|legend=1| 10, 14c, 24c, 38ccd, 52cccde }}


Badness: 0.023524
Badness: 0.026712


==== 13-limit ====
=== Decimated ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11


Comma list: 25/24, 27/26, 33/32, 40/39
Comma list: 25/24, 33/32, 49/48


Mapping: {{mapping| 7 11 16 0 24 26 | 0 0 0 1 0 0 }}
Mapping: {{mapping| 2 0 3 4 10 | 0 2 1 1 -2 }}


Optimal tuning (POTE): ~10/9 = 1\7, ~8/7 = 250.764
Optimal tuning (POTE): ~7/5 = 1\2, ~7/6 = 255.066


{{Optimal ET sequence|legend=1| 7, 14c }}
{{Optimal ET sequence|legend=1| 4, 10e, 14c }}


Badness: 0.023003
Badness: 0.031456


==== Septimal ====
=== Decibel ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11


Comma list: 25/24, 33/32, 45/44, 65/63
Comma list: 25/24, 35/33, 49/48


Mapping: {{mapping| 7 11 16 0 24 6 | 0 0 0 1 0 1 }}
Mapping: {{mapping| 2 0 3 4 7 | 0 2 1 1 0 }}


Optimal tuning (POTE): ~10/9 = 1\7, ~8/7 = 247.445
Optimal tuning (POTE): ~7/5 = 1\2, ~8/7 = 243.493


{{Optimal ET sequence|legend=1| 7, 14cf }}
{{Optimal ET sequence|legend=1| 4, 6, 10 }}


Badness: 0.022569
Badness: 0.032385


== Sidi ==
== Sidi ==
Line 372: Line 318:
Mapping: {{mapping| 1 3 3 6 7 | 0 -4 -2 -9 -10 }}
Mapping: {{mapping| 1 3 3 6 7 | 0 -4 -2 -9 -10 }}


POTE generator: ~9/7 = 427.273
Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 427.273


{{Optimal ET sequence|legend=1| 3de, 14c, 45cce, 59bcccdee }}
{{Optimal ET sequence|legend=1| 3de, 14c, 45cce, 59bcccdee }}
Line 392: Line 338:


[[Badness]]: 0.045911
[[Badness]]: 0.045911
== Jamesbond ==
[[Subgroup]]: 2.3.5.7
[[Comma list]]: 25/24, 81/80
{{Mapping|legend=1| 7 11 16 0 | 0 0 0 1 }}
{{Multival|legend=1| 0 0 7 0 11 16 }}
[[Optimal tuning]] ([[POTE]]): ~10/9 = 1\7, ~8/7 = 258.139
{{Optimal ET sequence|legend=1| 7, 14c }}
[[Badness]]: 0.041714
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 25/24, 33/32, 45/44
Mapping: {{mapping| 7 11 16 0 24 | 0 0 0 1 0 }}
Optimal tuning (POTE): ~10/9 = 1\7, ~8/7 = 258.910
{{Optimal ET sequence|legend=1| 7, 14c }}
Badness: 0.023524
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Comma list: 25/24, 27/26, 33/32, 40/39
Mapping: {{mapping| 7 11 16 0 24 26 | 0 0 0 1 0 0 }}
Optimal tuning (POTE): ~10/9 = 1\7, ~8/7 = 250.764
{{Optimal ET sequence|legend=1| 7, 14c }}
Badness: 0.023003
==== Septimal ====
Subgroup: 2.3.5.7.11.13
Comma list: 25/24, 33/32, 45/44, 65/63
Mapping: {{mapping| 7 11 16 0 24 6 | 0 0 0 1 0 1 }}
Optimal tuning (POTE): ~10/9 = 1\7, ~8/7 = 247.445
{{Optimal ET sequence|legend=1| 7, 14cf }}
Badness: 0.022569


[[Category:Temperament families]]
[[Category:Temperament families]]
Retrieved from "https://en.xen.wiki/w/Dicot_family"